Lesson 4:Graphs of Trigonometric Functions

The graphs of trigonometric functions are periodic, that is, their graphs repeat in cycles, like the sine function.

$\theta:$

$0$

$\frac{\pi}{6}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

$\frac{2\pi}{3}$

$\frac{3\pi}{4}$

$\frac{5\pi}{6}$

$\pi$

$\frac{3\pi}{2}$

$2\pi$

$\frac{13\pi}{6}$

$\frac{11\pi}{4}$

$\frac{9\pi}{3}$

$\frac{8\pi}{2}$

$3\pi$

$\frac{7\pi}{2}$

$4\pi$

X:

$0$

$\frac{\sqrt{3}}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{1}{2}$

$0$

$-\frac{1}{2}$

$-\frac{\sqrt{2}}{2}$

$-\frac{\sqrt{3}}{2}$

$0$

$-1$

$0$

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

$1$

$0$

$-1$

$0$

Y:

$0$

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

$1$

$\frac{\sqrt{3}}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{1}{2}$

$0$

$-1$

$0$

$\frac{1}{2}$

$\frac{\sqrt{2}}{2}$

$\frac{\sqrt{3}}{2}$

$1$

$0$

$-1$

$0$

Many trigonometric functions have graphs that are symmetric with respect to one of the axes or to the origin.

Videos:
Graphing the Sine Function
Graphing Trig Functions

Quiz:
Topic:Trigonometry_Lesson 4:Graphs of Trigonometric Functions_quiz